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12111 = 311367
BaseRepresentation
bin10111101001111
3121121120
42331033
5341421
6132023
750211
oct27517
917546
1012111
119110
127013
135688
1445b1
1538c6
hex2f4f

12111 has 8 divisors (see below), whose sum is σ = 17664. Its totient is φ = 7320.

The previous prime is 12109. The next prime is 12113. The reversal of 12111 is 11121.

Adding to 12111 its reverse (11121), we get a palindrome (23232).

Subtracting from 12111 its reverse (11121), we obtain a triangular number (990 = T44).

Multipling 12111 by its reverse (11121), we get a palindrome (134686431).

It can be divided in two parts, 121 and 11, that multiplied together give a palindrome (1331).

It is an interprime number because it is at equal distance from previous prime (12109) and next prime (12113).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12111 - 21 = 12109 is a prime.

12111 is a modest number, since divided by 111 gives 12 as remainder.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 12111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (2208).

212111 is an apocalyptic number.

12111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12111 is a deficient number, since it is larger than the sum of its proper divisors (5553).

12111 is a wasteful number, since it uses less digits than its factorization.

12111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its digits is 2, while the sum is 6.

The square root of 12111 is about 110.0499886415. The cubic root of 12111 is about 22.9646590196.

The spelling of 12111 in words is "twelve thousand, one hundred eleven", and thus it is an iban number.

Divisors: 1 3 11 33 367 1101 4037 12111